Just to go into more detail about current draw:
A 393 will in fact draw *less *current than a 269 if they are both under the same torque load. Where issues arise with 393s is when you stall them, because their stall current is higher than that of a 269. You should be trying to avoid stall in your design anyway.
If your robot is browning out, you are better off gearing down your 393s and sacrificing some speed, but gaining torque. This will reduce the amount of current you draw. Switching to 269s for the same application won’t increase speed or torque and may even increase the amount of current you draw because 269s are weaker and will stall more easily.
According to the president of VEX Robotics:
To see this in graph form, here are the torque-speed curves for the two motors:
https://vexforum.com/attachment.php?attachmentid=6043&d=1336704320
https://vexforum.com/attachment.php?attachmentid=6046&d=1336704327
Credit for these graphs goes to jpearman. Both the graphs and the quote are taken from this thread:
https://vexforum.com/t/motor-torque-speed-curves/21602/1&highlight=motor+torque+speed+curves
The graph for the 393 motor may be out of date, as described here:
https://vexforum.com/showpost.php?p=309781&postcount=40